3 1/4 times 1 1/6 as a Fraction
To evaluate the expression 3 1/4 times 1 1/6, we need to follow the order of operations (PEMDAS) and convert the mixed numbers to improper fractions before multiplying.
Step 1: Convert Mixed Numbers to Improper Fractions
First, let's convert the mixed numbers to improper fractions:
- 3 1/4 = (3 × 4) + 1 = 13/4
- 1 1/6 = (1 × 6) + 1 = 7/6
Step 2: Multiply the Fractions
Now, we can multiply the two fractions:
(13/4) × (7/6) = ?
To multiply fractions, we multiply the numerators (numbers on top) and multiply the denominators (numbers on the bottom), then simplify the fraction:
(13 × 7) / (4 × 6) = 91/24
Step 3: Simplify the Fraction (Optional)
The resulting fraction 91/24 is already in its simplest form. However, if you want to simplify it further, you can divide both the numerator and the denominator by their greatest common divisor (GCD).
In this case, the GCD of 91 and 24 is 1, so the fraction remains the same:
91/24
Therefore, 3 1/4 times 1 1/6 as a fraction is 91/24.
